Open AccessDidactical design for distance concept in solid geometry to develop mathematical representation ability in vocational high school
Author(s) -
Euis Gusanti Sri Rahayu,
Dadang Juandi,
Al Jupri
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1882/1/012077
Subject(s) - analytic geometry , representation (politics) , mathematics education , point (geometry) , computer science , construct (python library) , obstacle , vocational education , descriptive geometry , line (geometry) , geometry , mathematics , psychology , pedagogy , politics , political science , law , programming language
This is qualitative research about the didactical design of distance concept in solid geometry, aiming to develop mathematical representation ability. This research employs a qualitative method with didactical design research (DDR) consisting of three stages of the didactical situation: didactical and pedagogical anticipation, metapedadidactical analysis, and retrospective analysis. Hypothetical didactical design was arranged by learning obstacle and hypothetical learning trajectory with the theory of didactical situations. The research subjects were three students of State Vocational High School in Garut as representatives of 30 students who had experience learning Distance Concepts in Solid Geometry and had been given an identification test for learning obstacles. The study identified that learning obstacles are the didactic and epistemological obstacle, which covered five inaccuracies in (1) Students’ ability in presenting concepts in various mathematical representation; (2) Understanding of the concept orthogonal projection between points on a line in the geometry; (3) construct geometric shapes of space to clarify the problem; (4) Understanding students’ visual representations related to the ability to determine the position of a point or a line perpendicular to a line; (5) Understanding of calculation procedures using the Pythagorean theorem and algebraic concepts.